ISRO Mechanical & Aerospace 2017-2 - Question 18

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Topic: Theory of Machines

The Kutzback criterion for determining the number of degrees of freedom (n) of a mechanism with L as number of links, J as number of lower pairs and H as number of higher pairs is

  • A. $3(J-1)-2L-H$
  • B. $2(L-1)-2J-H$
  • C. $3(L-1)-2J-H$
  • D. $2(L-1)-3J-H$

Answer: C. $3(L-1)-2J-H$

Explanation: The Kutzback criterion is $n=3(L-1)-2J-H$, where $n$ = Degree of freedom, $L$ = No. of links, $J$ = No. of binary joints (lower pairs), $H$ = No. of higher pairs. Note: Kutzback criterion is valid only for 2-D mechanisms.

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